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A causal algebra for dynamic flow networks
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Smith, J. Q. and Figueroa, Liliana J. (2007) A causal algebra for dynamic flow networks. In: 2nd European Workshop on Probabilistic Graphical Models, Leiden, Netherlands, 4-8 Oct 2004. Published in: Advances in Probabilistic Graphical Models, Volume 213 pp. 39-54. ISBN 9783540689942. doi:10.1007/978-3-540-68996-6_2 ISSN 1434-9922.
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Official URL: http://dx.doi.org/10.1007/978-3-540-68996-6_2
Abstract
Over the past decades there has been considerable research to develop various dynamic forms of Bayesian Networks (BNs) and a parallel development in the field of causal BNs. However, linking these two fields is subtle. In this paper we demonstrate that, for classes of models exhibiting mass balance, it is necessary to first redefine the stochastic variables in a process using a decomposition which gives rise to a class of particular Dynamic Linear Models. These models on the transformed space can be interpreted as a dynamic form of a causal BN. A manipulation algebra is then defined to enable the prediction of effects of interventions that would not have been obtainable using the current Causal algebras. The necessary deconstruction of the processes and the algorithms to determine the effects of manipulations on the original process are demonstrated using a simple example of a supply chain in a hypothetical product market.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Series Name: | STUDIES IN FUZZINESS AND SOFT COMPUTING | ||||
Journal or Publication Title: | Advances in Probabilistic Graphical Models | ||||
Publisher: | Springer | ||||
ISBN: | 9783540689942 | ||||
ISSN: | 1434-9922 | ||||
Editor: | Lucas, P and Gamez, JA and Salmeron, A | ||||
Official Date: | 2007 | ||||
Dates: |
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Volume: | Volume 213 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 39-54 | ||||
DOI: | 10.1007/978-3-540-68996-6_2 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 2nd European Workshop on Probabilistic Graphical Models | ||||
Type of Event: | Workshop | ||||
Location of Event: | Leiden, Netherlands | ||||
Date(s) of Event: | 4-8 Oct 2004 |
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